Given numbers are 690,217,572,553,552

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 690,217,572,553,552 is 6765999240.

Find LCM of 690,217,572,553,552 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 7 x 23 x 5 x 31 x 143 x 79 x 2 = 6765999240

Therefore, the lowest common multiple of 690,217,572,553,552 is 6765999240.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

690 x 217 x 572 x 553 x 552 = 26143821063360

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

217 : 1, 7, 31, 217

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

553 : 1, 7, 79, 553

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,217,572,553,552, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

217:7x 31

572:2x 2x 11x 13

553:7x 79

552:2x 2x 2x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 7x 23 = 3864

Therefore, the value for common factors is 3864.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 26143821063360/(1x3864)

LCM = 26143821063360/3864

LCM = 6765999240

Thus, we can understand that the LCM of 690,217,572,553,552 is 6765999240.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 253, 508, 919, 168, 294
• LCM of 176, 381, 929, 647, 279
• LCM of 291, 369, 435, 366, 534
• LCM of 685, 221, 624, 380, 997
• LCM of 292, 637, 613, 394, 255

1. What is the LCM of 690, 217, 572, 553, 552?

Answer: LCM of 690, 217, 572, 553, 552 is 6765999240.

2. How to calculate the LCM of 690, 217, 572, 553, 552?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 690, 217, 572, 553, 552.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.